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Finding the Fourth Proportional to 5,482, 8,218.90 and 1,782.02

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Solution

The fourth proportional to 5,482, 8,218.90 and 1,782.02 is: 2,671.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482 : 8,218.90 = 1,782.02 : x
  2. Step 2: Convert to fraction form
    5,482/8,218.90 = 1,782.02/x
  3. Step 3: Cross multiply
    5,482x = 8,218.90 × 1,782.02
  4. Step 4: Simplify right side
    5,482x = 14,646,235.27
  5. Step 5: Solve for x
    x = 14,646,235.27/5,482
  6. Step 6: Final answer
    x = 2,671.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.